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Finding the Fourth Proportional to 10,477.76, 15,716.17 and 3,082.46

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Solution

The fourth proportional to 10,477.76, 15,716.17 and 3,082.46 is: 4,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.76 : 15,716.17 = 3,082.46 : x
  2. Step 2: Convert to fraction form
    10,477.76/15,716.17 = 3,082.46/x
  3. Step 3: Cross multiply
    10,477.76x = 15,716.17 × 3,082.46
  4. Step 4: Simplify right side
    10,477.76x = 48,444,449.97
  5. Step 5: Solve for x
    x = 48,444,449.97/10,477.76
  6. Step 6: Final answer
    x = 4,623.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.